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Finding the Third Proportional to 230,856.75 and 346,953.38

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Solution

The third proportional to 230,856.75 and 346,953.38 is: 521,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,856.75 : 346,953.38 = 346,953.38 : x
  2. Step 2: Convert to fraction form
    230,856.75/346,953.38 = 346,953.38/x
  3. Step 3: Cross multiply
    230,856.75x = 346,953.38 × 346,953.38
  4. Step 4: Simplify right side
    230,856.75x = 120,376,644,423.89
  5. Step 5: Solve for x
    x = 120,376,644,423.89/230,856.75
  6. Step 6: Final answer
    x = 521,434.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.